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Finding the Third Proportional to 25,066 and 55,090

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Solution

The third proportional to 25,066 and 55,090 is: 121,076.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,066 : 55,090 = 55,090 : x
  2. Step 2: Convert to fraction form
    25,066/55,090 = 55,090/x
  3. Step 3: Cross multiply
    25,066x = 55,090 × 55,090
  4. Step 4: Simplify right side
    25,066x = 3,034,908,100
  5. Step 5: Solve for x
    x = 3,034,908,100/25,066
  6. Step 6: Final answer
    x = 121,076.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.